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Finding the Third Proportional to 148,316 and 229,845

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Solution

The third proportional to 148,316 and 229,845 is: 356,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,316 : 229,845 = 229,845 : x
  2. Step 2: Convert to fraction form
    148,316/229,845 = 229,845/x
  3. Step 3: Cross multiply
    148,316x = 229,845 × 229,845
  4. Step 4: Simplify right side
    148,316x = 52,828,724,025
  5. Step 5: Solve for x
    x = 52,828,724,025/148,316
  6. Step 6: Final answer
    x = 356,190.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.